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Finding the Fourth Proportional to 4,205.82, 5,803.82 and 2,437.98

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Solution

The fourth proportional to 4,205.82, 5,803.82 and 2,437.98 is: 3,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.82 : 5,803.82 = 2,437.98 : x
  2. Step 2: Convert to fraction form
    4,205.82/5,803.82 = 2,437.98/x
  3. Step 3: Cross multiply
    4,205.82x = 5,803.82 × 2,437.98
  4. Step 4: Simplify right side
    4,205.82x = 14,149,597.08
  5. Step 5: Solve for x
    x = 14,149,597.08/4,205.82
  6. Step 6: Final answer
    x = 3,364.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.